Slave-boson Keldysh field theory for the Kondo effect in quantum dots

TL;DR

This paper introduces a nonperturbative, analytical Keldysh field theory for the Kondo effect in quantum dots, simplifying the analysis while accurately reproducing experimental and numerical results.

Contribution

It unifies slave-boson and Keldysh formalisms to derive a closed-form analytical theory that captures key Kondo physics without complex saddle point or 1/N expansions.

Findings

Reproduces experimental Kondo peak data in differential conductance

Predicts the Kondo temperature accurately

Matches universal temperature dependence of conductance

Abstract

We present a {\it nonequilibrium nonperturbative} field theory for the Kondo effect in strongly interacting quantum dots at finite temperatures. Unifying the slave-boson representation with the Keldysh field integral an effective Keldysh action is derived and explored in the vicinity of the zero slave-bosonic field configuration. The theory properly reflects the essential features of the Kondo physics and at the same time significantly simplifies a field-theoretic treatment of the phenomenon, avoiding complicated saddle point analysis or 1/N expansions, used so far. Importantly, our theory admits a {\it closed analytical} solution which explains the mechanism of the Kondo effect in terms of an interplay between the real and imaginary parts of the slave-bosonic self-energy. It thus provides a convenient nonperturbative building block, playing the role of a "free propagator", for more advanced theories. We finally demonstrate that already this simplest possible field theory is able to correctly reproduce experimental data on the Kondo peak observed in the differential conductance, correctly predicts the Kondo temperature and, within its applicability range, has the same universal temperature dependence of the conductance as the one obtained in numerical renormalization group calculations.